mathsurgery - Edexcel Module 1-10

|||| Unit 1 Module 1-10 of 17

Contents: Fractions	Time: 3 – 5 hours
SPECIFICATION REFERENCE
N a	Calculate using fractions
N h	Understand equivalent fractions; simplify a fraction by cancelling all common factors
N h	Order fractions by rewriting them with a common denominator
PRIOR KNOWLEDGE
Multiplication facts Ability to find common factors A basic understanding of fractions as being ‘parts of a whole unit’ Use of a calculator with fractions
OBJECTIVES Lesson plans
Visualise a fraction diagrammatically (5.1) Understand a fraction as part of a whole (5.1) Recognise and write fractions in everyday situations (chapter 5) Write a fraction in its simplest form and recognise equivalent fractions (5.1) Compare the sizes of fractions using a common denominator (5.1) Add and subtract fractions by using a common denominator (5.1) Write an improper fraction as a mixed fraction (5.1) Recognising common recurring decimals can be written as exact (assumed)
DIFFERENTIATION & EXTENSION
Careful differentiation is essential for this topic dependent upon the student’s ability Relate simple fractions to remembered percentages and vice-versa Use a calculator to change fractions into decimals and looking for patterns Work with improper fractions and mixed numbers The four rules of number applied to fractions with a calculator Solve word problems involving fractions and in real-life problems, eg find perimeter using fractional values
NOTES
Understanding of equivalent fractions is the key issue in order to be able to tackle the other content Constant revision of this topic is needed Students should learn how to identify and use the fraction button on their calculators Link with probability calculations using AND and OR Laws Use of fractions for calculations involving compound units (Unit 1 and 2) Use Functional Elements questions and examples using fractions, eg off the list price when comparing different sale prices

|||| Unit 2 Module 2-5 of 20

Contents: Fractions*	Time: 3 – 5 hours
SPECIFICATION REFERENCE
N i	Add and subtract fractions by writing them with a common denominator
N h	Understand equivalent fractions; simplify a fraction by cancelling all common factors
N b	Order fractions by rewriting them with a common denominator
N a, i	Add, subtract, multiply and divide fractions (without a calculator)
N j	Convert between fractions and decimals
N k	Recognise that recurring decimals are exact fractions, and that some exact fractions are recurring decimals
PRIOR KNOWLEDGE
Multiplication facts Ability to find common factors A basic understanding of fractions as being ‘parts of a whole unit’ Use of a calculator with fractions (from Unit 1)
OBJECTIVES Lesson plans
Visualise a fraction diagrammatically (assumed) Understand a fraction as part of a whole (assumed) Recognise and write fractions in everyday situations (assumed) Write a fraction in its simplest form and recognise equivalent fractions (2.1, 3.1) Compare the sizes of fractions using a common denominator (assumed) Add and subtract fractions by using a common denominator (2.1) Write an improper fraction as a mixed fraction (2.1) Recognise common recurring decimals can be written as exact fractions, eg (3.1) Convert a recurring decimal into a fraction (3.1)
DIFFERENTIATION & EXTENSION
Careful differentiation is essential for this topic dependent upon the student’s ability Relate simple fractions to remembered percentages and vice-versa Use a calculator to change fractions into decimals and looking for patterns Work with improper fractions and mixed numbers Multiplication and division of fractions to link with probability calculations in Unit 1 Recognise that every terminating decimal can be written as a fraction with a denominator that includes 2 and/or 5 as a common factor Solve word problems involving fractions and in real-life problems, eg find perimeter using fractional values Introduction to algebraic fractions

|||| Unit 1 Module 1-12 of 17

Contents: Ratio and scale	Time: 2 – 4 hours
SPECIFICATION REFERENCE
N p	Use ratio notation, including reduction to its simplest form and it various links to fraction notation
N t	Divide a quantity in a given ratio
N t	Solve word problems about ratio
PRIOR KNOWLEDGE
Fractions and Decimals
OBJECTIVES Lesson plans
Write a ratio in its simplest form (5.9) Appreciate that, eg the ratio 1:2 represents and of a quantity (5.9) Divide quantities in a given ratio, eg divide £20 in the ratio 2:3 (5.9) Solve word problems involving ratios, eg find the cost of 8 pencils given that 6 pencils cost 78p (5.9)
DIFFERENTIATION & EXTENSION
Currency calculations using currency exchange rates Harder problems involving multi-stage calculations Relate ratios to Functional Elements contexts, eg investigate the proportions of the different metals in alloys or the new amounts of ingredients needed for a recipe for different numbers of guests
NOTES
Students often find three-part ratios difficult Also link ratios given in different units to metric and imperial units (Unit 2)

Fractions & Ratio

N1

|||| Unit 2 Module 2-7 of 20

Contents: Ratio and scale*	Time: 2 – 4 hours
SPECIFICATION REFERENCE
N p	Use ratio notation, including reduction to its simplest form and its various links to fraction notation
N t	Divide a quantity in a given ratio
N t	Solve word problems about ratio
PRIOR KNOWLEDGE
Fractions and decimals
OBJECTIVES Lesson plans
Write a ratio in its simplest form (6.1) Appreciate that, eg the ratio 1:2 represents and of a quantity (6.1) Divide quantities in a given ratio, eg divide £20 in the ratio 2:3 (6.3) Solve word problems involving ratios, eg find the cost of 8 pencils given that 6 pencils cost 78p (6.2)
DIFFERENTIATION & EXTENSION
Currency calculations using currency exchange rates Harder problems involving multi-stage calculations Relate ratios to Functional Elements contexts, eg investigate the proportions of the different metals in alloys, and work out the new amounts of ingredients for a recipe for a different number of guests
NOTES
Students often find three-part ratios difficult Link ratios to metric and imperial units module